Question

figure jklm is a kite. what is the measure of angle k? 102° 118° 134° 156° j 78° 46° l 118° m

Explanation:

Step1: Recall sum of angles in a quadrilateral

The sum of the interior - angles of a quadrilateral is $360^{\circ}$. Let $\angle J = 78^{\circ}$, $\angle L=46^{\circ}$, $\angle M = 118^{\circ}$, and $\angle K=x$.

Step2: Set up the equation

We have the equation $x + 78^{\circ}+46^{\circ}+118^{\circ}=360^{\circ}$.

Step3: Simplify the left - hand side

$x+(78 + 46+118)^{\circ}=x + 242^{\circ}=360^{\circ}$.

Step4: Solve for $x$

Subtract $242^{\circ}$ from both sides of the equation: $x=360^{\circ}-242^{\circ}=118^{\circ}$.

Answer:

$118^{\circ}$